Well done to the people who found the
height (48) and then used it to get the triangle side lengths, but
special congratulations to Michael from Taradale High School for a
more direct approach using the powerful property that this
arrangement contains three similar triangles.
If the yellow triangle has a hypotenuse, h, and if the
yellow-orange triangle and the yellow triangle are similar, then
the ratio, h : 100 is equal to the ratio 36 : h
From that we know that h must be 60, and using the same thinking
again the hypotenuse of the orange triangle must be 80.